Question

Find the vector parametrization of the line that passes through (1, 1, 1) parallel to the line through (2, 0, -1) and (4, 1, 3).

Answer 1

ok so you need to add 2 vectors right?
That is the velocity vector plus the initial position vector r0

Answer 2

Sorry, refined my question. I described it incorrectly at first. we are actually supposed to find the vector parametrization.

Answer 3

So your first vector parallel to the line would be (4-2, 1-0, 3-2)=(2, 1, 1). The initial vector r0 would be (1,1,1). Now add them together by the equation r0+vt and get (1+2t, 1+t, 1+t)

Answer 4

or express as r(t)=<1,1,1> + t<2,1,1> and get the same thing

Answer 5

Oh, that makes sense. Thanks!

Answer 6

no problem man lol im taking calc 3 too

Answer 7

Actually a pretty fun class, right now I am catching up on 6 weeks of homework, though >.> haha

Answer 8

wow...I've done like 2/3 of mine and have a test in 2 days

Answer 9

ahh my test is next wednesday, but homework is due this wednesday

Answer 10

oh well good luck man! need to do some literature hw now

Answer 11

alright, good luck to u too :P